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Expression of type ExprTuple

from the theory of proveit.numbers.summation

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, i
from proveit.numbers import Add, Interval, Sum, four, six, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [i]
sub_expr2 = Add(i, two)
expr = ExprTuple(Sum(index_or_indices = sub_expr1, summand = sub_expr2, domain = Interval(two, six)), Add(four, Sum(index_or_indices = sub_expr1, summand = sub_expr2, domain = Interval(three, six))))
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\sum_{i = 2}^{6} \left(i + 2\right), 4 + \left(\sum_{i = 3}^{6} \left(i + 2\right)\right)\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 9
operand: 5
2Operationoperator: 20
operands: 4
3ExprTuple5
4ExprTuple6, 7
5Lambdaparameter: 25
body: 8
6Literal
7Operationoperator: 9
operand: 12
8Conditionalvalue: 17
condition: 11
9Literal
10ExprTuple12
11Operationoperator: 22
operands: 13
12Lambdaparameter: 25
body: 15
13ExprTuple25, 16
14ExprTuple25
15Conditionalvalue: 17
condition: 18
16Operationoperator: 27
operands: 19
17Operationoperator: 20
operands: 21
18Operationoperator: 22
operands: 23
19ExprTuple24, 30
20Literal
21ExprTuple25, 24
22Literal
23ExprTuple25, 26
24Literal
25Variable
26Operationoperator: 27
operands: 28
27Literal
28ExprTuple29, 30
29Literal
30Literal